Title Statements
- Full title :Stochastic systems / George Adomian.
Edition Statements
- Publication Date:1983.
Publication Statements
- Publisher(s):Academic Press
- Place of Publication:New York
- Language:eng
- Publication Date:1983.
The Physical Object
- Description:1 online resource (xvii, 331 pages)
Edition Identifiers
- ISBN:9780080956756, 0080956750, 1282290339, 9781282290334, 0120443708, 9780120443703, 9786612290336, 6612290331
- oclc:ocn316564070
- LC Classification:QA274.23
- Dewey Decimal:519.2
Table of Contents
Front Cover; Stochastic Systems; Copyright Page; Contents; Foreword; Preface; Chapter 1. Green's Functions and Systems Theory; 1.1. Introduction: Some Remarks on the Mathematical Modeling of Dynamical Systems; 1.2. Linearity and Superposition; 1.3. The Concept of a Green's Function; 1.4. Simple Input-Output Systems and Green's Functions; 1.5. Operator Forms; 1.6. Green's Function for the Inhomogeneous Sturm-Liouville Operator; 1.7. Properties of the Green's Function; 1.8. Evaluation of the Wronskian; 1.9. Solution Using Abel's Formula
1.10. Use of Green's Function to Solve the Inhomogeneous Equation1.11. Adjoint Operators; 1.12. Green's Functions for Adjoint Operators; 1.13. Symbolic Functions; 1.14. Sturm-Liouville Differential Equation; 1.15. Boundary Conditions Specified on a Finite Interval [a, b]; 1.16. Series Expansions for G(x,?); 1.17. Multiple-Input-Multiple-Output Systems; 1.18. Bilinear Form of the Green's Function; 1.19. Bilinear Form of the Green's Function for the Sturm-Liouville Differential Equation; 1.20. Cases Where the Green's Function Does Not Exist; 1.21. Multidimensional Green's Functions
1.22. Green's Functions for Initial Conditions1.23. Approximate Calcu…
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